Test the claim that the mean GPA of night students is larger than 2 at the 0.01 significance level. The null and alternative hypothesis would be: Ho p≥ 0.5 Ho:p ≤ 0.5 Ho: ≤ 2 H₁ p < 0.5 H₁:p> 0.5 H₁:μ> 2 The test is: right-tailed left-tailed two-tailed Based on a sample of 35 people, the sample mean GPA was 2.04 with a standard deviation of 0.08 The test statistic is: The p-value is: Based on this we: Ho:μ ≥ 2 Ho:p = 0.5 Ho:μ = 2 H₁:μ< 2 H₁:p 0.5 H₁:μ ‡ 2 O Fail to reject the null hypothesis Reject the null hypothesis (to 2 decimals) (to 2 decimals)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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Test the claim that the mean GPA of night students is larger than 2 at the 0.01 significance level.
The null and alternative hypothesis would be:
Ho p≥ 0.5 Ho:p ≤ 0.5 Ho:μ ≤ 2
H₁:p < 0.5 H₁:p > 0.5 H₁:μ> 2
The test is:
right-tailed left-tailed two-tailed
Based on a sample of 35 people, the sample mean GPA was 2.04 with a standard deviation of 0.08
(to 2 decimals)
The test statistic is:
The p-value is:
Based on this we:
Ho:μ ≥ 2 Ho:p = 0.5 Ho:μ = 2
H₁:μ< 2 H₁:p ‡ 0.5 H₁:μ ‡ 2
Fail to reject the null hypothesis
Reject the null hypothesis
(to 2 decimals)
Transcribed Image Text:Test the claim that the mean GPA of night students is larger than 2 at the 0.01 significance level. The null and alternative hypothesis would be: Ho p≥ 0.5 Ho:p ≤ 0.5 Ho:μ ≤ 2 H₁:p < 0.5 H₁:p > 0.5 H₁:μ> 2 The test is: right-tailed left-tailed two-tailed Based on a sample of 35 people, the sample mean GPA was 2.04 with a standard deviation of 0.08 (to 2 decimals) The test statistic is: The p-value is: Based on this we: Ho:μ ≥ 2 Ho:p = 0.5 Ho:μ = 2 H₁:μ< 2 H₁:p ‡ 0.5 H₁:μ ‡ 2 Fail to reject the null hypothesis Reject the null hypothesis (to 2 decimals)
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